title: Cross-validated tomography.
abstract: We show that the information collected in the course of a generic quantum tomography experiment can be used for verifying experimenters' assumptions about the state preparation and measurement. In particular, systematic errors, such as drifts and instabilities inherent in the tomography setup, can be identified without the need for any specific measurements designed to detect such problems. This is done by statistical analysis of available tomography data. As an example, we discuss the detection and characterization of unexpected changes in the signal state preparation during the tomography measurement and argue that minimal tomography schemes, such as symmetric informationally complete measurements, are more difficult to validate than overcomplete schemes. The method is illustrated with the analysis of experimental quantum homodyne tomography.
authors.affiliation: Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, Santo André, São Paulo 09210-170, Brazil and Institute of Physics, Belarus National Academy of Sciences, Nezalezhnasci Avenue 68, Minsk 220072, Belarus.
authors.forename: D
authors.initials: D
authors.lastname: Mogilevtsev
authors.forename: Z
authors.initials: Z
authors.lastname: Hradil
authors.forename: J
authors.initials: J
authors.lastname: Rehacek
authors.forename: V S
authors.initials: VS
authors.lastname: Shchesnovich
mesh_terms: D008962:Models, Theoretical; D011789:Quantum Theory; D015203:Reproducibility of Results; D012815:Signal Processing, Computer-Assisted; D014054:Tomography / Q000379:methods*